| 1. |
- Asadzadeh, Mohammad, 1952, et al.
(författare)
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Efficiency of combined Daubechies wavelets and statistical parameters applied in mammography.
- 2013
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Ingår i: Applied and Computational Mathematics: an international journal. - 1683-3511 .- 1683-6154. ; 12:3, s. 289-306
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Tidskriftsartikel (refereegranskat)abstract
- The proposed methodology combines a Daubechies (Db2) wavelet transform and the statistical parameters, skewness and kurtosis for the detection of microcalcifications in mammography. The effeciency of the discrete algorithm is heavily relied on the order of performing wavelet approximation and the computation of the statistical moments. The significant of wavelet and statistical parameter approaches, as well as the ordering issue in performing the analysis, are justified through implementing numerical examples for some clinical data. Finally, a ROC curve summarizing the performance of the CAD scheme is also presented.
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| 2. |
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| 3. |
- Beilina, Larisa, 1970
(författare)
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Efficiency of a hybrid method for elastic waves
- 2003
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Ingår i: Applied and Computational Mathematics: an international journal. - 1683-3511 .- 1683-6154. ; 2:1, s. 13-29
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Tidskriftsartikel (refereegranskat)
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| 4. |
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| 5. |
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| 6. |
- Beilina, Larisa, 1970, et al.
(författare)
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Adaptive Hybrid Finite Element/Difference method for Maxwell's equations
- 2010
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Ingår i: TWMS Journal of Pure and Applied Mathematics. - 1683-3511. ; 1:2, s. 176-197
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Tidskriftsartikel (refereegranskat)abstract
- An explicit, adaptive, hybrid finite element/finite difference method is proposed for the numerical solution of Maxwell’s equations in the time domain. The method is hybrid in the sense that different numerical methods, finite elements and finite differences, are used in different parts of the computational domain. Thus, we combine the flexibility of finite elements with the efficiency of finite differences. Furthermore, an a posteriori error estimate is derived for local adaptivity and error control inside the subregion, where finite elements are used. Numerical experiments illustrate the usefulness of computational adaptive error control of proposed new method.
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| 7. |
- Beilina, Larisa, 1970
(författare)
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Adaptive Hybrid Finite Element/Difference method for Maxwell's equations: an a priory error estimate and efficiency
- 2010
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Ingår i: Applied and Computational Mathematics. - 1683-3511. ; 9:2, s. 176-197
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Tidskriftsartikel (refereegranskat)abstract
- In this work we extend our previous study where anexplicit adaptive hybrid finite element/finite difference method wasproposed for the numerical solution of Maxwell's equations in the timedomain. Here we derive a priori error estimate in finite elementmethod and present numerical examples where we indicate the rate ofconvergence of the hybrid method. We compare also hybrid finiteelement/finite difference method with pure finite element method andshow that we devise an optimized method. In our three dimensionalcomputations the hybrid approach is about 3 times faster than acorresponding highly optimized finite element method. We conclude thatthe hybrid approach may be an important tool to reduce the executiontime and memory requirements for large scale computations.
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| 8. |
- Brenner, Philip, 1941
(författare)
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Lipschitz continuity of the scattering operator for nonlinear Klein-Gordon equations
- 2011
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Ingår i: Applied and Computational Mathematics. - 1683-3511. ; 10:2, s. 213-241
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Tidskriftsartikel (refereegranskat)abstract
- Abstract. We will give an overview of the Strichartz and Space Time Integral estimates for the Klein-Gordon and subcritical nonlinear Klein-Gordon equations, respectively. In this frame- work, the regularity of the solution and scattering operators for the nonlinear subcritical Klein- Gordon is studied, mainly using these tools and estimates of the nonlinearity in Besov spaces. We prove that these operators are (uniformly) Hölder continuous on the energy space for space dimension n >= 3, and Lipschitz continuous for n <= 8. AMS Subject Classification: 35L71, 35L10, 46E35.
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| 9. |
- Karchevskii, E. M., et al.
(författare)
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Reconstruction of Dielectric Constants of Multi-Layered Optical Fibers Using Propagation Constants Measurements
- 2016
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Ingår i: Applied and Computational Mathematics. - 1683-3511. ; 15:3, s. 346-358
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Tidskriftsartikel (refereegranskat)abstract
- We present a new method for the numerical reconstruction of the variable refractive index of multi-layered circular weakly guiding dielectric waveguides using the measurements of the propagation constants of their eigenwaves. Our numerical examples show stable reconstruction of the dielectric permittivity function epsilon for random noise level using these measurements.
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